Step-by-step explanation:
H(x)=

If g(x) values =0, h(x) will be undefined.
So f(x)=0, h(x) will be undefined.
Zo find values of f(x) equal 0.
That is when x=2. So the answer to first solution is 2.
h(x) is negative when (-oo, -3) U (2,oo)
Answer:
160
Step-by-step explanation:
5x-10+12x=16x
17x-16x=10
x= 10
exterior angle at C = 16x= 16×10 = 160°
Answer:
BD = <u>1</u> unit
AD = <u>1</u> unit
AB = <u>1.6</u> units
AC = <u>1.6</u> units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
25mm is the answer if its not tell me